Pith Number

pith:HVKY6CVA

pith:2021:HVKY6CVAGZDVKP2BSBIKTTCMYO

not attested not anchored not stored refs pending

Galaxy-Scale Test of General Relativity with Strong Gravitational Lensing

Jing-Zhao Qi, Xiao-Hui Liu, Xin Zhang, Zhen-Hua Li

arxiv:2109.02291 v2 · 2021-09-06 · astro-ph.CO · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HVKY6CVAGZDVKP2BSBIKTTCMYO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Parameter inference of millilensed gravitational waves using neural spline flows

Receipt and verification

First computed	2026-07-05T04:01:56.689784Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d558f0aa03647553f419050a9cc4cc3ab0b59ea71c82dc5f1a2210e1228882a

Aliases

arxiv: 2109.02291 · arxiv_version: 2109.02291v2 · doi: 10.48550/arxiv.2109.02291 · pith_short_12: HVKY6CVAGZDV · pith_short_16: HVKY6CVAGZDVKP2B · pith_short_8: HVKY6CVA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HVKY6CVAGZDVKP2BSBIKTTCMYO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3d558f0aa03647553f419050a9cc4cc3ab0b59ea71c82dc5f1a2210e1228882a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bab05176e12bee1f5689889025f166b434facacaacab5395cf523d2a0fc12a1",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-09-06T08:41:37Z",
    "title_canon_sha256": "d49f352ac1b111ae5a9bb70877f93670d6c969c614ef33a63e3c6032481f73f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.02291",
    "kind": "arxiv",
    "version": 2
  }
}